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Possibilistic approach to Bayes decisions

Hryniewicz O.

Journal of Telecommunications and Information Technology

2003

nr 3

3-8

The decision problems are considered when the prior probabilistic information about the state of nature and decision maker's utility function are imprecisely defined. In such a case the risks (or the expected utility) of considered decisions are also imprecisely defined. We propose two-step procedure for finding the optimal decision. First, we order possible decisions using the lambda-average ranking method by Campos and Gonzalez [1]. Then we use possibilistic possibility of dominance and necessity of strict dominance indices proposed by Dubois and Prade [3] for the comparison of consequences of the most promising solutions.